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Hawa is working two summer jobs, making 
$9 per hour babysitting and making 
$13 per hour tutoring. In a given week, she can work no more than 12 total hours and must earn a minimum of 
$120. If Hawa worked 2 hours babysitting, determine the minimum number of whole hours tutoring that she must work to meet her requirements.
Answer:

Hawa is working two summer jobs, making $9 \$ 9 per hour babysitting and making $13 \$ 13 per hour tutoring. In a given week, she can work no more than 1212 total hours and must earn a minimum of $120 \$ 120 . If Hawa worked 22 hours babysitting, determine the minimum number of whole hours tutoring that she must work to meet her requirements.\newlineAnswer:

Full solution

Q. Hawa is working two summer jobs, making $9 \$ 9 per hour babysitting and making $13 \$ 13 per hour tutoring. In a given week, she can work no more than 1212 total hours and must earn a minimum of $120 \$ 120 . If Hawa worked 22 hours babysitting, determine the minimum number of whole hours tutoring that she must work to meet her requirements.\newlineAnswer:
  1. Calculate Earnings from Babysitting: First, we need to calculate the amount Hawa earns from babysitting for 22 hours.\newlineShe earns $9\$9 per hour babysitting.\newlineSo, for 22 hours, she will earn 22 hours * $9\$9/hour = $18\$18.
  2. Determine Additional Earnings Needed: Next, we need to determine how much more money Hawa needs to make to reach her minimum weekly earnings of $120\$120. She has already earned $18\$18 from babysitting. So, she needs $120$18=$102\$120 - \$18 = \$102 more.
  3. Calculate Hours for Tutoring: Now, we need to calculate the number of hours she needs to work tutoring to make the additional $102\$102. She earns $13\$13 per hour tutoring. To find the number of hours, we divide the total amount she needs by her hourly tutoring rate: $102÷$13/hour=7.84615385\$102 \div \$13/\text{hour} = 7.84615385 hours.
  4. Round Up to Whole Hours: Since Hawa can only work whole hours, we need to round up the number of hours to the next whole number because she can't work a fraction of an hour and she needs to meet the minimum earnings requirement.\newlineTherefore, she must work at least 88 whole hours tutoring.

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